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Aryabhata - Life and Contributions
by D S Hooda ,  J N Kapur      (Author ALERT)



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ProductID: 6403 - Hardcover - 130 Pages (Year: 2001)
New Age International ~ ISBN: 8122413056


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Explorations in Mathematics
by A A Hattangadi

 Indiaclub.com Description

This book examines life and work of Aryabhata, one of the greatest mathematicians and astronomers of all times, and father of the renaissance of mathematics and science in ancient India.

It is true that Indian mathematics and astronomy had great achievements to their credit even before Aryabhata's time, but contributions in these fields were usually made by groups of saint-scholars, who combined in their writings mathematics, astronomy, astrology, religious rituals, science and spiritual knowledge, in a more or less integrated manner.

Aryabhata, for the first time, had the courage to break with this tradition. He studied thoroughly and completely all the mathematics and astronomy known in his time, systematized it, found the gaps in the knowledge of these disciplines and filled these gaps with his own researches. He had the courage to reject the accepted values of astronomical parameters, if these were inconsistent with his and others' observations. In this sense, he was a true scientist uninhibited by any consideration, other than that of search for truth.

The uniqueness of this work lies in the fact that it is neither so short as to be sketchy, nor so detailed as to be of interest only to scholars in the history of mathematics and astronomy. It will be useful to all educated persons in India and abroad, who are interested in knowing about ancient India's glory in the fields of mathematics and science.



 Table of Contents

Preface to the Second Edition
Preface to the First Edition

CHAPTER I
HISTORY OF ANCIENT INDIAN ASTRONOMY AND MATHEMATICS

PART ONE
INTRODUCTION

PART TWO
A Brief History of Ancient Indian Astronomy

PART THREE
An Assessment of Ancient Indian Astronomy

PART FOUR
A Brief History of Ancient Indian Mathematics

PART FIVE
Development of Mathematics in Various Countries

PART SIX
Tributes to Ancient Indian Mathematics

PART SEVEN
Concluding Remarks

CHAPTER II
LIFE HISTORY OF ARYABHATA

PART ONE
Introduction

PART TWO
Birth

PART THREE
Kusumpura of Aryabhata

PART FOUR
Teacher and Devotee of Brahma

PART FIVE
Pupils of Aryabhata

PART SIX
Aryabhata and Foreign Mathematicians

CHAPTER III
PART ONE
Introduction

PART TWO
A Collection of Two Compositions

PART THREE
Notable Points of the Aryabhatiya

PART FOUR
Commentaries on the Aryabhatiya

PART FIVE
The Aryabhata-Siddhanta

PART SIX
The Aryabhatiya and Aryabhat-Siddhanta

PART SEVEN
The Surya-Siddhanta-Prakash

PART EIGHT
Works based on the Aryabhatiya

CHAPTER IV
CONTRIBUTIONS OF ARYABHATA TO MATHEMATICS

PART ONE
Introduction

PART TWO
Arithmetic

PART THREE
Algebra

PART FOUR
Value of Pie

PART FIVE
Mensuration and Geometry

PART SIX
Trigonometry

PART SEVEN
Construction of Circle and the Shadow Sphere

CHAPTER FIVE
CONTRIBUTIONS OF ARYABHATA TO ASTRONOMY

PART ONE
Introduction

PART TWO
Main Contributions

PART THREE
Bhagola

PART FOUR
Khagola

PART FIVE
Spherical Astronomy

PART SIX
Eclipses of the Moon and the Sun

PART SEVEN
Planets Determined from Observations

CHAPTER SIX
RELEVANCE OF ARYABHATA TO MODERN MATHEMATICS AND SCIENCE

PART ONE
The Renaissance of Scientific
Methodology inspired by Aryabhata

PART TWO
Some Lessons from Aryabhata's Life and Work

PART TWO
Concluding Remarks

CHAPTER SEVEN
AN ASSESSMENT OF ARYABHATA

PART ONE
Aryabhata's Contributions to Mathematics

PART TWO
Aryabhata's Contribution to Astronomy

PART THREE
Aryabhata's Contribution to Scientific Spirit

PART FOUR
Some Weaknesses of Aryabhata's Contributions

PART FIVE
Tributes to Aryabhata

PART SIX
Aryabhata's Impact on Modern Mathematics

Bibliography

 


 

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